Chapter 17, Problem 8RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Solve the differential equation.

**8.**

To determine

**To solve:** The differential equation.

Explanation

**Given data:**

The differential equation is,

Consider the auxiliary equation.

Roots of equation (2) are,

Write the expression for the complementary solution of two complex roots

Substitute 0 for

The Right hand side (RHS) of a differential equation contains only sine function, Therefore, the trail solution

Differentiate equation (5) with respect to *x*.

Differentiate equation (6) with respect to *x*

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